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ehidna [41]
2 years ago
9

A coordinate plane.

Mathematics
2 answers:
Svetach [21]2 years ago
7 0

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}

So now the function is determined as y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1).

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  \frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5

B. (3, 2) \frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2

C. (4, 5) \frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5

D. (5, 4) \frac{2}{3}(5+1)=\frac{2}{3}(6)=4

Fudgin [204]2 years ago
3 0

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

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